${\mathbb{G}}_a^3$-structures on del Pezzo fibrations

Abstract

In this paper we prove that del Pezzo fibrations admit ${\mathbb{G}}_a^3$-structures if and only if they are ${\mathbb{P}}^2$-bundles over ${\mathbb{P}}^1$.

9 pages

References in corpus (3)

• Some structure theorems for algebraic groups
• Fano threefolds as equivariant compactifications of the vector group
• On compactifications of affine homology 3-cells into quadric fibrations